The support function of the high-dimensional Poisson polytope

Pierre Calka, Benjamin Dadoun

Let $K_{\hat{I}}{»}^d$ be the convex hull of the intersection of the homogeneous Poisson point process of intensity $\hat{I}»$ in ${\mathbb{R}}^d$, $d\ge 2$, with the Euclidean unit ball $\mathbb{B…